Strategic Approaches for CAT Success: Ranking & Derrangements, One-word Substitution - Day 38

Strategic Approaches for CAT Success: Ranking & Derrangements, One-word Substitution - Day 38

Edited By Irshad Anwar | Updated on Sep 20, 2023 04:31 PM IST | #CAT

Hello CAT 2023 candidates,

The CAT exam 2023 for MBA admissions 2024–2026 will be held on November 26. In this CAT 2023 60-day preparation guide series of Careers360, we will discuss the strategies on Derangement and Ranking Arrangement Questions for day 38 that can help you prepare well and crack the CAT entrance test 2023.

This article includes Ranking arrangement questions, one-word substitution MCQs, and Logical deduction meaning. Aspirants can go through the article below for further practice questions on Ranking arrangement questions, one-word substitution questions and logical deduction questions. CAT Preparation 2023 in 60 days

Strategic Approaches for CAT Success: Ranking & Derrangements, One-word Substitution - Day 38
Strategic Approaches for CAT Success: Ranking & Derrangements, One-word Substitution - Day 38

Part-1: Quantitative Aptitude for CAT exam

CAT Exam Important Topic: Strategy to Prepare “Permutations and Combinations (Ranking and Derangements)” and ranking arrangement questions

Important Concept/Formula Used in Derangement

Problems on Derangement and Ranking

  1. Finding of Rank of a word in a dictionary with no alphabet is repeating: See link in references
  2. Finding the Rank of a word (if letters are repeating): See link in references
  3. Concept of Derangements: permutation of the elements of a certain set in a way that no element of that set appears in their original positions.
  4. The number of derangements of a set with n objects is given by the formula

1695205886483

CAT Exam: Previous Year CAT Questions On Permutations and Combinations (Ranking and Derangements)

Q1. All the rearrangements of the word "DEMAND" are written without including any word that has two D's appearing together. If these are arranged alphabetically, what would be the rank of "DEMAND"? [CAT PYQ]

A. 36 B. 74 C. 42 D. 86

Ranking Arrangement Questions With Answers: (B)

Total words formed from the word DEMAND = 6! /2! = 360

Total words formed from the word DEMAND where 2 D’s appear together = 5! = 120

Total words formed from the word DEMAND where 2D’s do not appear together =

360 – 120 = 240

Words starting with ‘A’, without two D’s adjacent to each = Words starting with A - Words starting with A where 2 D’s are together

⇒ Words starting with ‘A’, without two D’s adjacent to each = 5!/2! - 4! = 36.

Next letter is D (in alphabetical order from the letters of the word DEMAND)

Words starting with DA: 4! words = 24 words

Words starting with DEA = 3! = 6 words

Words starting with DEA = 3! = 6 words

Words starting with DEMA

=> First word is DEMADN

=> Second is DEMAND

Rank of DEMAND = 36 + 24 + 6 + 6 + 2 = 74

Derangement and Ranking

Q2. In how many ways can you put 6 letters into their respective envelopes such that exactly 4 go into the right envelope? [CAT Sample Question]

a) 24 b) 102 c)15 d) 530

Ranking Arrangement Questions With Answers: (C)

No of ways in which the 4 correct envelopes can be selected= 6C4 =15

Derangement of the remaining 2 envelopes & letters =

1695205886361

= 2! (1 -1 + ½) = 1

Total No of ways of arrangement = 1 x 15= 15.

CAT entrance exam: Prerequisite to Derangement

  1. Factorial

  2. Fundamental Principle of counting,

  3. Concept of Selection and Arrangement

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Tips and Tricks of Ranking Arrangement Questions for CAT

  1. For nCr to be greatest,

    • if n is even, r = n/2
    • if n is odd, r = (n + 1)/2 or (n – 1)/2
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  1. Number of squares in a square of n × n side = 12 + 22 + 32 + 42 + … n2

  2. Number of rectangles in a square of n × n side = 13 + 23 +33 + 43 + … n3. (This includes the number of squares.)

  3. Practice sample papers and questions based on previous years CAT Questions.

  4. Do not spend much time on this.

CAT study material: References to Study (Theory) Derangement and Ranking

  1. NCERT Class 11 Maths
  2. Concept Tree (YouTube, Link: https://www.youtube.com/watch?v=A4Fp-vP243k)
  3. CAT Funda (YouTube, Link: https://www.youtube.com/watch?v=QCqj1ijqp8w)

CAT study material: References to Practice ranking arrangement questions

  1. How to prepare quantitative Aptitude for CAT by Arun Sharma.
  2. (CAT PYQs https://www.youtube.com/watch?v=P0UQxxR_slc)

Part-2: CAT 2023 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)

CAT 2023 Syllabus Topic: Strategy to prepare “Logical Deduction” for CAT

Important Concepts/ Formulas used in Logical Deduction

Middle term: It is the term common to both the premise and is denoted by ‘M’.

Major premise: The premise in which the middle term is in place of the predicate is called a major premise.

Minor premise: The premise in which the middle term is in the place of the subject is called a minor premise.

Subject vs Predicate: Consider this question statement

  1. All cats are dogs
  2. Some dogs are birds
  3. No bird is a pig
  4. Some pigs are not birds.
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In all such statements, the first term is called the subject and the second is called the predicate.

CAT Exam: Previous years Questions on Logical Deduction from CAT/ MBA Entrance Exam:

Q1. Statements: No Arc is Circle. Some Arc are Triangles.

Conclusions:

Square are Circles

Some Triangles are Circles.

  1. The only conclusion I follow

  2. Only conclusion II follows

  3. Either I or II follows

  4. Neither I nor II follows

  5. Both I and II follow

Solution: [D]

Statement I is negative.

Statemnet II is negative.

Therefore Negative conclusion must be there.

But neither conclusion is negative.

Logical Deduction Questions

Q2. The question contains six statements, followed by four options of combinations of any three of the given sentences. Choose the option in which the combinations are logically related. Consider the first two as statements and the third as conclusions:

Statements:

  1. Some pinks are colour.
  2. No Blue is black.

Conclusions:

  1. All pink are spark.
  2. Some sparks are not E.
  3. Some yellow are black.
  4. Some pink are black.

1. ABD 2. ABF 3. CDE 4. BCF 5. NOT

Solution: (5)

Option

Statement 1

Statement 2

Conclusion

Remark

1

A (+ve)

B (-ve)

D (-ve)

True

2

A (+ve)

B (-ve)

F (+ve)

False

3

C (+ve)

D (-ve)

E(+ve)

False

4

B (-ve)

C (+ve)

F (+ve)

False

We must check option (1) only (rest are false); No common term is there A and B, so no conclusion can be drawn.

Hence answer is (5)

CAT entrance exam: Prerequisite

  1. Syllogism
  2. Venn Diagram

Tips and Tricks for CAT Logical Deduction Questions

  1. There should be three and only three distinct terms between two premises for the conclusion to be obtained.

  2. The middle term should be distributed at least once on the premises for the conclusion to be obtained.

Statement 1

Statement 2

Remark

Positive

Positive

+ve Conclusion

Positive

Negative

-ve Conclusion

Negative

Positive

-ve Conclusion

Negative

Negative

No Conclusion

  1. Learn the rule of distribution (See References to Study Link)

  2. Practice Sample Papers.

References to CAT Study (Theory) Logical Deduction

  1. LRDI by Nikhil K. Sinha
  2. Concept Tree (YouTube link: https://www.youtube.com/watch?v=lkyRADOwUuY)
  3. (YouTube link: https://www.youtube.com/watch?v=lsl5y8xlqCw&t=442s)

References to Practice Logical Deduction questions

  1. Verbal and Non-Verbal Reasoning by R S Agrawal.
  2. MBA Entrance Previous years Papers and Sample Papers.

Part-3: CAT Exam Preparation 2023: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

CAT Exam Important Topic: Strategy to Prepare “One Word Substitution” and one word substitution questions for competitive exams such as CAT-2023

CAT Tips and Tricks for One Word Substitution Questions:

  1. Divide the One-word substitutions into the categories like

One Word Substitution for Study

Some Examples:

Printing using a stone or a metal plate with a completely smooth surface

Lithography

Mapping of earth and its formation

Geography

Words used for people with various qualities, habits, and abilities.

Some Examples:

The doctor who attends to corn in the feet and hands

Chiropodist

The doctor who deals with the female reproductive system

Gynecologist

Words for likes and dislikes

Some Examples:

One who loves and admires the British

Anglophile

One who loves without seriousness

Philanderer

Words used for practices & beliefs

Some Examples:

One who believes in many Gods

Polytheist

One who believes that God is the union of all forces of the universe

Pantheist

Words used for various kinds of killings

Some Examples:

the killing of a whole race

Genocide

The killing of a newborn child

Infanticide

There can be more categories like this.

  1. Remember the following factors while choosing a word for a sentence

  • Contextual
  • Grammatical
  • Tone of sentence
  • Insight
  1. Learning more about substitution will be helpful.

  1. Practice Sample questions.

CAT Previous Years' Questions on One Word Substitution MCQs

Sample Questions:

Directions: Choose the best substitute from the given options for highlighted phrase

Q.1. We visited the ancient palace yesterday, there we saw old manuscripts written by saints, we tried but it was not clear enough to be read.

  1. Corrigible
  2. Legible
  3. Negligible
  4. Illegible

Ans: [4]

One word substitution quiz with answers

Q.2. They organized a house party for Sara’s birthday but she does not get excited easily even if you put in a lot of effort and emotion.

  1. Gregarious
  2. Placid
  3. Inclement
  4. Frenzied

Ans: [2]

CAT 2023: Prerequisite to one word substitution MCQs

  1. Sentence Structure
  2. Vocabulary
  3. Parts of Speech

CAT exam: References to Study (Theory)

  1. One word substitution questions for competitive exams
  2. Wren and Martin
  3. (https://www.youtube.com/watch?v=3YPMi1RbSb0)

CAT exam: References to Practice one word substitution questions

  1. one-word substitution MCQs
  2. Verbal Ability for CAT by Arun Sharma and Meenakshi Upadhyay.
  3. CAT Previous years Papers and other MBA Entrance Exams.
  4. (youTube; Link: https://www.youtube.com/watch?v=1DU9ZWbGvLs)

Practice and remain focused, and we'll be back tomorrow with Day 39.

Thank you! All the best!

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Questions related to CAT

Have a question related to CAT ?

With a rank of 33,000 in the VITEEE 2025 exam:

You can get:

VIT-AP (Amaravati) – Category 1 or 2 for most branches including CSE (except CSE specializations might need Cat 2).

VIT-Bhopal – Easily Category 1 for all branches including CSE and its specializations.

Both campuses have relatively lower cutoffs than VIT Vellore or Chennai, so 33,000 rank is considered good for AP or Bhopal campus.

VIT Bhopal – CSE (Cat 1): Lower fees, good for programming, but newer campus and fewer top-tier companies.

VIT Chennai – ECE (Cat 2): Better campus, more industry exposure, but higher fees and slightly lower average packages for ECE.

Verdict: If you prefer CSE and lower fees, go for VIT Bhopal. If you value campus reputation and industry exposure, choose VIT Chennai ECE.

Hey there! With a rank of 74k in VITEEE, getting into CSE at VIT AP might be a bit tricky, especially in Category 1, where the competition is pretty fierce. However, you might have a better shot in Category 2, as they usually have more seats and slightly relaxed criteria. It's always worth checking the latest cutoffs and trends, but don't lose hope just yet! Good luck! For more detail call-9962747850

With a rank of 74,000 in VITEEE, it is unlikely that you will secure admission in Computer Science Engineering (CSE) in either Category 1 or Category 2 at VIT AP, as the cutoffs for CSE are generally higher. However, you may explore other branches or options.

With a VITEEE 2025 rank of 74,000 , securing admission to the B.Tech in Computer Science and Engineering (CSE) program at VIT-AP University under Category 1 or Category 2 is not feasible .

VIT-AP CSE Cutoff Trends

Based on previous years' data, the cutoff ranks for the CSE program at VIT-AP are as follows:

  • Category 1 : Up to 15,000

  • Category 2 : 15,001 – 25,000

  • Category 3 : 25,001 – 40,000

  • Category 4 : 40,001 – 55,000

  • Category 5 : 55,001 – 70,000+

Given your rank of 74,000 , you fall beyond the typical cutoff for Category 5. While there might be slight variations in cutoff ranks each year based on factors like seat availability and applicant pool, it's unlikely that the cutoff for Category 5 would extend significantly beyond 70,000.

Alternative Options

  1. Consider Other Campuses : VIT Bhopal and VIT Chennai may have slightly higher cutoff ranks for CSE in higher categories. Exploring these campuses could increase your chances of admission.

  2. Explore Other Specializations : If you're open to related fields, programs like CSE with specializations in AI/ML , Data Science , or Cybersecurity might have different cutoff trends.

  3. Look into Other Institutions : Private universities such as SRM Institute of Science and Technology , Amity University , or Sharda University offer CSE programs with varying admission criteria.

  4. Alternative Pathways : Consider enrolling in a diploma or certification course in computer science or related fields to build foundational knowledge, and then explore lateral entry options into B.Tech programs. https://engineering.careers360.com/articles/viteee-cutoff

View All

Directions for question :

M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.

Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.

The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :

It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired. 

Question :

In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?

Option: 1

September 2020

 

 


Option: 2

May 2021


Option: 3

January 2021

 


Option: 4

January 2022 


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the first customer's order be considered closed ?

 

Option: 1

6.15 pm

 

 


Option: 2

6.17 pm

 


Option: 3

6.18 pm

 


Option: 4

6.20 pm


Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick having brown colour at the top end ?

Option: 1

 White 

 


Option: 2

Yellow 


Option: 3

Black

 


Option: 4

Grey


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the third customer's order be considered closed ?

 

Option: 1

6.28 pm

 


Option: 2

6.35 pm

 


Option: 3

6.38 pm


Option: 4

6.45 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the second customer's order be considered closed ?

Option: 1

6.20 pm

 

 


Option: 2

6.18 pm


Option: 3

6.15 pm

 


Option: 4

6.12 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the third customer's order be considered closed ?

 

Option: 1

6.22 pm

 


Option: 2

6.25 pm


Option: 3

6.28 pm 


Option: 4

6.30 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

A fourth customer comes in and orders two plates of French Toast at 6.24 pm. Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis. For exactly how many minutes would one of the friends be idle from 6.00 pm till serving the last customer, assuming that the four customers were the only ones to have come in within the period being discussed ?

Option: 1

9

 


Option: 2

13


Option: 3

18


Option: 4

21


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Had Niloy been absent on that day, and assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the fourth customer's order (refer to the previous question) be considered closed ?

Option: 1

6:38 pm

 


Option: 2

6:42 pm

 


Option: 3

6:47 pm


Option: 4

6:49 pm


Directions for question:

The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :

Question:

What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?

Option: 1 None

Option: 2 None

Option: 3 None

Option: 4 None

Directions for question:

The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.

In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.

Dr Sanyal was able to gather the following partial information :  

 

Hostel inmates

Menu preference for dinner

Total

Egg Meal

Fish Meal

Chicken Meal

Gents

   

20

 

Ladies

     

64

Total

 

60

   

 

The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :

1. Forty percent of the hostel inmates were ladies

2. One-third of the gentlemen inmates preferred an egg meal for dinner

3. Half the hostel inmates preferred either fish meal or chicken meal

Question:

What proportion of the lady hostel inmates preferred a fish meal for dinner ?

 

 

Option: 1

0.25

 

 


Option: 2

0.50

 


Option: 3

0.75

 


Option: 4

1.00 


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